Question A walkway forms one diagonal of a square playground. The walkway is 24 m long. How long is a side of the playground?

The diagonal of a square can be obtained by the Pythagorean theorem and is given by: Diagonal = root (L ^ 2 + L ^ 2) Where, L: Sides of the squares Clearing L, we have: (Diagonal) ^ 2 = L ^ 2 + L ^ 2 (Diagonal) ^ 2 = 2L ^ 2 L ^ 2 = ((Diagonal) ^ 2) / 2 L = (((Diagonal) ^ 2) / 2) ^ (1/2) Substituting L = (((24) ^ 2) / 2) ^ (1/2) = 16.97 The side of the playground is 16.97m long Log in to Reply

The diagonal of a square can be obtained by the Pythagorean theorem and is given by:

Diagonal = root (L ^ 2 + L ^ 2)

Where,

L: Sides of the squares

Clearing L, we have:

(Diagonal) ^ 2 = L ^ 2 + L ^ 2

(Diagonal) ^ 2 = 2L ^ 2

L ^ 2 = ((Diagonal) ^ 2) / 2

L = (((Diagonal) ^ 2) / 2) ^ (1/2)

Substituting

L = (((24) ^ 2) / 2) ^ (1/2) = 16.97

The side of the playground is 16.97m long